Question

a) The fuel costs of two operating units are as follows:

c1=0.05P₁² + 25p₁+400 US$/hr

c2=0.1P₂² + 25p₂+350 US$/hr

If given that the minimum and maximum powers are 10MW and 1000MW for each unit, compare the cost of the allocation of generation(dispatch) through an optimal strategy against an equal-share of generation strategy for a load of 100MW.

Hence calculate the net loss/gain of the optimal strategy against the equal-share strategy

b) The load for the power system consisting of two units in part (a) is varied as shown in table 1. For the shown load variations, develop a daily generation schedule by allocating the load optimally

Table 1:

Time	Total load
12 midnight-6 AM	50 MW
6 AM - 12 Noon	120 MW
12 Noon - 3 PM	180 MW
3 PM - 10 PM	200 MW
10 PM - 12 Midnight	80 MW

Answer 1

-100-66.6% a 33-33 0.1y 33332 + 2533 33+3 SO 1244.33 Y 180 Net gan2-3583 ,82 + 362.5

2- rM (bu